Garau, M, Nieves, MJ and Jones, IS (2019) Alternating Strain Regimes for Failure Propagation in Flexural Systems. The Quarterly Journal of Mechanics and Applied Mathematics, 72 (3). 305 - 339. ISSN 0033-5614

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We consider both analytical and numerical studies of a steady-state fracture process inside a discrete mass-beam structure, composed of periodically placed masses connected by Euler–Bernoulli beams. A fault inside the structure is assumed to propagate with a constant speed and this occurs as a result of the action of a remote sinusoidal, mechanical load. The established regime of fracture corresponds to the case of an alternating generalised strain regime. The model is reduced to a Wiener–Hopf equation and its solution is presented. We determine the minimum feeding wave energy required for the steady-state fracture process to occur. In addition, we identify the dynamic features of the structure during the steady-state fracture regime. A transient analysis of this problem is also presented, where the existence of steady-state fracture regimes, revealed by the analytical model, are verified and the associated transient features of this process are discussed.

Item Type: Article
Additional Information: © The Author, 2019. Published by Oxford University Press; all rights reserved. For Permissions, please email: This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model ( The final version of this article and any extra information required can be found at;
Uncontrolled Keywords: Discrete periodic media, mass-beam structures, fracture, Wiener-Hopf technique, numerical simulations.
Subjects: Q Science > QA Mathematics
T Technology > T Technology (General)
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 31 Jul 2020 12:30
Last Modified: 25 Mar 2021 12:10

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